 Energy Entropy Boltzmann probabilities

Thermal and Statistical Physics 2020 (3 years)
Consider a threestate system with
energies \((\epsilon,0,\epsilon)\).
 At infinite temperature, what are the probabilities of the three
states being occupied? What is the internal energy \(U\)? What is
the entropy \(S\)?
 At very low temperature, what are the three probabilities?
 What are the three probabilities at zero temperature? What is
the internal energy \(U\)? What is the entropy
\(S\)?
 What happens to the probabilities if you allow the temperature
to be negative?